Continuity mistake: Takumi and Shingo both have their right hands duct taped to the steering wheel, as per the rules of the Gum Tape Deathmatch. During one shot of the race, Tak's hand is no longer taped and resting casually on top of the steering wheel as opposed to the right side of it.
Continuity mistake: During the 'Break it down!' part of 'The World Goes Round', there is usually no microphone in front of Stephanie. However, in the shots where Stingy shows up, there is now a microphone. Up until the 'Break it down!', there was also a microphone, showing that it actually disappeared from most of the shots during it. The guitar also disappears from all 'Break it down!' shots.
Continuity mistake: When Hayden starts doing his good luck routine, there is a football on the left side of the couch on a pillow. When he stands on the couch the ball rolls off the pillow. When he steps off the couch the ball is suddenly on the other side of the couch. The next shot the ball is back on the pillow.